MathDB

10

Part of 2013 Princeton University Math Competition

Problems(1)

2013 PUMaC Team 10

Source:

11/24/2013
On a plane, there are 77 seats. Each is assigned to a passenger. The passengers walk on the plane one at a time. The first passenger sits in the wrong seat (someone else's). For all the following people, they either sit in their assigned seat, or if it is full, randomly pick another. You are the last person to board the plane. What is the probability that you sit in your own seat?
probabilitycombinatorics